Abstract
A dynamic model of multiple interactions of n-elements of a complex mobile communication system is developed, which takes into account the nature of inter-element communications and phase states of the grouping of electronic devices. The model describes the electromagnetic environment of the grouping of electronic equipment in the state space during group use of a frequency resource.The simulation of the dynamics of interaction and phase states of the grouping of electronic equipment is done with the group use of the frequency resource.It is shown that at sufficiently large values of the growth coefficient of the number of electronic devices, both a sharp increase in the level of interaction intensity and a sharp decrease characteristic of those situations that occur in mobile communication systems during the busy hours in places of high density of mobile users can occur.The analysis of the dynamics of the grouping of radio-electronic means of a mobile communication system at different intensities of linear and non-linear multiple interactions, the combined nature of which is displayed by the normalized value of the signal/(jam+noise) ratio, is carried out. The dynamics of non-equilibrium states of the groups of 2 mobile networks at various values of the intensity of interactions is considered.It is established that the non-equilibrium state of the mobile communication system occurs when the total level of the group influence of the emitting devices on the receiving devices increases with a normalized value of the interaction intensity of more than 1.4.The conditions are identified under which the grouping of radio-electronic means of a mobile communication system can function without deterioration of quality indicators, characterized by the total level of group influence of radiating devices on receiving devices, under conditions of optimal frequency resource distribution.It is shown how, using the non-linear Volterra system, which simulates the dynamics of the interactions of a grouping of electronic equipment, it is possible to analyze its state in the future. This model allows to analyze the grouping of electronic equipment with various specific parameters of individual types of electronic equipment, the nature and intensity of their interaction in the group with the current distribution of resources
Highlights
Modern comprehensive development of telecommunications means is on the path of globalization and personalization of communications, the intensive creation of new means and systems of terrestrial and satellite based and, as well, their wide integration.The creation of new global telecommunication systems and networks, the intensive development of corporate communication systems, a significant increase in personal communications and the volume of services provided highlights the problem of electromagnetic compatibility (EMC) of various telecommunications, and in particular radio-electronic means of transmitting and receiving information [1].The need to analyze the problems of EMC arises both when carrying out certain activities related to changes in the electromagnetic environment (EME) in a group, and as a result of the introduction of certain measures to improve EMC in this group
It is urgent to develop a mathematical model of the states of the grouping of electronic devices in the group use of a frequency resource, based on a dynamic model of multiple interactions of n-elements of a complex system, which takes into account the nature of micelle elements and phase states
Further development of the subject matter of these studies can go in the direction of creating a methodology, it will take into account the type of mobile communication systems (MCS) radio electronic means (REM), the model of random distribution of network elements, the distribution density of the distribution of network elements, especially the propagation of radio waves depending on the conditions of use of the MCS REM with the development of a software package that can be registered and recommended for practical use
Summary
Modern comprehensive development of telecommunications means is on the path of globalization and personalization of communications, the intensive creation of new means and systems of terrestrial and satellite based and, as well, their wide integration. It is advisable to find the levels of maximum multiple impacts at which the non-equilibrium state of the REM grouping of mobile communication systems occurs in which it becomes impossible to operate the system in terms of quality indicators In this regard, it is urgent to develop a mathematical model of the states of the grouping of electronic devices in the group use of a frequency resource, based on a dynamic model of multiple interactions of n-elements of a complex system, which takes into account the nature of micelle elements and phase states. The development of such a model will make it possible to thoroughly analyze the REM grouping of mobile communication systems in solving the problem of the optimal distribution of the frequency resource of the grouping of electronic equipment under non-linear electromagnetic effects
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